Photostable, cosmetic light-screening compositions for the protection of the human epidermis and the hairs against the ultraviolet rays of wavelengths between 320 and 400 nm, and between 320 and 400 nm respectively, comprising, in a cosmetically acceptable vehicle containing at least one fatty phase, about 0.75 to about 5%, in particular about 1 to about 4% by weight, of a dibenzoylmethane type UV-A screening agent and at least about 0.5% to about 2%, in particular about 0.5 to about 1% by weight, of a benzylidene type stabilizer of the general formula ##STR1## represents a bridged cyclic compound having the camphor (1,7,7-trimethyl-bicyclo�2.2.1!heptan-2-one), norcamphor (bicyclo�2.2.1!heptan-2-one), nopinone (6,6-dimethyl-bicyclo�3.1.1!heptan-2-one), pinocamphone (4,6,6-trimethyl-bicyclo�3.1.1!heptan-3-one), verbanone (4,6,6-trimethyl-bicyclo�3.1.1!heptan-2-one, thujone (1-isopropyl-4-methyl-bicyclo�3.1.0!hexan-3-one) or the 4,7-methano-octahydro-inden-5-one structure, and wherein R.sup.1, R.sup.2, R.sup.3 independently signify hydrogen, lower alkyl, lower alkoxy, or 2 adjacent radicals represent methylene-dioxy, and where, in case of the camphor derivatives, the ratio of the UV-A filter to the stabilizer is greater than ca. 1.5:1, preferably ca. 2 to ca. 6:1, and where 4-methylbenzylidene camphor is excluded from the scope of formula I, and, optionally, at least one conventional UV-B filter.